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Conformal symmetry and accelerating cosmology in teleparallel gravity

2013/08/31 by Kazuharu Bamba, Sergei D. Odintsov, Diego Sáez-Chillón Gómez +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.88.084042

published as Physical Review D 88, 084042 (2013) · 13 pages, no figure, version accepted for publication in Physical Review D

arxiv created 2013/10/17 · openalex publication_date 2013/10/25 · arxiv updated 2013/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We discuss conformal issues of pure and extended teleparallel gravity. In particular, we present formulations of conformal transformation in teleparallel gravity. Furthermore, we propose conformal scalar and gauge field theories in teleparallel gravity and study conformal torsion gravity. We explicitly demonstrate that a power-law acceleration (including the \ensuremathΛCDM universe) as well as the de Sitter expansion of the Universe can be realized in extended teleparallel gravity with a conformal scalar field, and that pure teleparallel gravity with a conformal scalar field can lead to the \ensuremathΛCDM model. It is also shown that the de Sitter solution can exist in conformal torsion gravity.

Citations